Least Common Multiple of 94/99, 36/421, 301/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/99, 36/421, 301/153 quickly i.e. 509292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/99, 36/421, 301/153 is 509292.

LCM(94/99, 36/421, 301/153) = 509292

LCM of 94/99, 36/421, 301/153

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 94/99,36/421,301/153

Given numbers are 94/99,36/421,301/153

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 94,36,301

Least Common Multiple of Numerators i.e. LCM of 94,36,301 is 509292.

GCF of Denominators means GCF of 99,421,153 as per the given fractions.

GCF of 99,421,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,36,301

LCM of Fractions 94/99,36/421,301/153 is 509292

2 94, 36, 301
47, 18, 301

∴ So the LCM of the given numbers is 2 x 47 x 18 x 301 = 509292

Least Common Multiple of 94,36,301 with GCF Formula

Least Common Multiple of 94,36,301 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 94,36,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,36,301) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,36,301) x common factors =1 x 2 = 2

LCM(94,36,301) = ( 94 × 36 × 301 ) / 2

LCM(94,36,301) = 1018584 / 2

LCM(94,36,301) = 509292


Lets's calculate GCF of 99,421,153

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509292/1

Therefore the LCM of Fractions 94/99,36/421,301/153 is 509292

Greatest Common Factor of 99,421,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,421,153 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 99,421,153 . The biggest common factor number is the GCF number.
So the greatest common factor 99,421,153 is 1.


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Frequently Asked Questions on Fractional LCM of 94/99, 36/421, 301/153

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 94/99, 36/421, 301/153?

Answer: LCM of Numerators as per given numbers 94/99, 36/421, 301/153 is

LCM of Numerators i.e. for 94,36,301 is 509292

GCF of denominators i.e. for 99,421,153 is 1.

Thus, LCM of Fractions is 509292.Finally, LCM of Fractions for 94/99, 36/421, 301/153 is 509292.